{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "351ac49b",
   "metadata": {},
   "source": [
    "# 信号恢复"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "742b5a5f",
   "metadata": {},
   "source": [
    "对信号x_a (t)=sin⁡(2π*150t)+sin⁡(2π*3250t)+sin⁡(2π*400t)进行f_s1=680\n",
    "Hz,f_s2=900Hz,f_s3=1000Hz的采样，并用内插公式进行恢复，画出恢复后的信号时域波形\n",
    "。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "1abfc8dd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#导入使用的库\n",
    "import numpy as np;from math import *\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "def signfunc(f): #定义信号函数\n",
    "    f1 = 150;f2 = 325;f3 = 400\n",
    "    t = np.arange(-0.02,0.02,1/f)\n",
    "    return t,np.sin(2*pi*f1*t)+np.sin(2*pi*f2*t)+np.sin(2*pi*f3*t)\n",
    "\n",
    "#原始信号\n",
    "fa = 100000\n",
    "ta,xa = signfunc(fa)\n",
    "\n",
    "#对原始信号进行采样\n",
    "fs1 = 680;fs2 = 900;fs3 = 1000\n",
    "t1,x_hat1 = signfunc(fs1);t2,x_hat2 = signfunc(fs2);t3,x_hat3 = signfunc(fs3)\n",
    "\n",
    "def interp_rec(samp_sign,t,ts,fs): #内插恢复函数\n",
    "    t = t-1e-10 #防止出现分母为0的情况\n",
    "    t = t.reshape(1,-1);ts = ts.reshape(-1,1)\n",
    "    th = t-ts;hn = np.sin(pi*fs*th)/(pi*fs*th)\n",
    "    return np.dot(samp_sign,hn)\n",
    "\n",
    "x_hat1_rec = interp_rec(x_hat1,ta,t1,fs1)\n",
    "x_hat2_rec = interp_rec(x_hat2,ta,t2,fs2)\n",
    "x_hat3_rec = interp_rec(x_hat3,ta,t3,fs3)\n",
    "\n",
    "plt.rcParams['font.sans-serif'] = 'SimHei'   #使图形中的中文正常编码显示\n",
    "plt.rcParams['axes.unicode_minus'] = False   #使坐标轴刻度表签正常显示正负号\n",
    "\n",
    "#绘制原信号及各采样信号恢复后的时域波形\n",
    "fig,ax = plt.subplots(4,1,constrained_layout=True)\n",
    "ax[0].plot(ta,xa);ax[1].plot(ta,x_hat1_rec)\n",
    "ax[2].plot(ta,x_hat2_rec);ax[3].plot(ta,x_hat3_rec)\n",
    "ax[0].set_title('原始信号,680Hz,900Hz,1000Hz采样后经过内插恢复的时域波形')\n",
    "ax[3].set_xlabel('t/s')\n",
    "fig.savefig('./samp_interp.png',dpi=500)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1b778a2c",
   "metadata": {},
   "source": [
    "可以看出，由于680Hz的采样频率不满足采样定理，使用内插公式恢复后的信号与原始信号不相同，而采样率为900Hz和1000Hz的信号经过恢复后与原始信号相同，再次验证了采样定理。"
   ]
  }
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